Search a number
-
+
36990000 = 243354137
BaseRepresentation
bin1000110100011…
…0110000110000
32120121021202000
42031012300300
533432140000
63400454000
7626260365
oct215066060
976537660
1036990000
1119975153
121047a300
137881798
144cac46c
1533aa000
hex2346c30

36990000 has 200 divisors, whose sum is σ = 133644720. Its totient is φ = 9792000.

The previous prime is 36989989. The next prime is 36990013. The reversal of 36990000 is 9963.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 269932 + ... + 270068.

Almost surely, 236990000 is an apocalyptic number.

36990000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36990000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66822360).

36990000 is an abundant number, since it is smaller than the sum of its proper divisors (96654720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36990000 is a wasteful number, since it uses less digits than its factorization.

36990000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 36990000 is about 6081.9404798140. The cubic root of 36990000 is about 333.1921624430.

Adding to 36990000 its reverse (9963), we get a palindrome (36999963).

The spelling of 36990000 in words is "thirty-six million, nine hundred ninety thousand".